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Finding the Third Proportional to 145,557 and 303,561

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Solution

The third proportional to 145,557 and 303,561 is: 633,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,557 : 303,561 = 303,561 : x
  2. Step 2: Convert to fraction form
    145,557/303,561 = 303,561/x
  3. Step 3: Cross multiply
    145,557x = 303,561 × 303,561
  4. Step 4: Simplify right side
    145,557x = 92,149,280,721
  5. Step 5: Solve for x
    x = 92,149,280,721/145,557
  6. Step 6: Final answer
    x = 633,080.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.